Question

In a quiz contest, 3 marks were awarded for a correct answer and −2 marks were given for an incorrect answer. If Ron gave 6 correct answers and scored 10 marks, then find the number of incorrect answers given by him.

Answer 1

Answer:-

⠀⠀⠀⠀⠀⠀⠀⠀According to the Question

It is given that in quiz test 3 marks awarded for correct answer & -2 marks were given for an incorrect answer .

No. of Correct answer given by Ron = 6

Marks scored by him = 10

So, we have to calculate the number of incorrect answer given by him ? Let's start

• Marks scored by Ron = No. of correct + No. of incorrect answer given by him

Substitute the value we get

$:\implies$ 10 = 3×6 - 2(x)

$:\implies$ 10 = 18 -2x

$:\implies$ 10 -18 = -2x

$:\implies$ -8 = -2x

$:\implies$ 8 = 2x

$:\implies$ x = 8/2

$:\implies$ x = 4

• Hence, the number of incorrect answer given by him were 4 .

Answer 2

Question:-

• In a quiz contest, 3 marks were awarded for a correct answer and −2 marks were given for an incorrect answer. If Ron gave 6 correct answers and scored 10 marks, then find the number of incorrect answers given by him.

To Find:-

• Find the number of incorrect answers given by him.

Solution:-

• Let the number of incorrect answer given be x

According to the Question:-

$\dashrightarrow\sf \: 10 = 3 \times 6 - 2x$

$\dashrightarrow\sf \: 10 = 18 - 2x$

$\dashrightarrow\sf \: 2x = 18 - 10$

$\dashrightarrow\sf \: 2x = 8$

$\dashrightarrow\sf \: x = \cancel\dfrac { 8 } { 4 }$

$\dashrightarrow\sf \: x = 4$

Hence ,

• Number of incorrect given is 4.